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30135966 = 2376471109
BaseRepresentation
bin111001011110…
…1011010011110
32002201001202220
41302331122132
530203322331
62553530210
7514102650
oct162753236
962631686
1030135966
1116013663
12a113966
136321b43
1440066d0
1529a4296
hex1cbd69e

30135966 has 32 divisors (see below), whose sum is σ = 69050880. Its totient is φ = 8589216.

The previous prime is 30135913. The next prime is 30135967. The reversal of 30135966 is 66953103.

30135966 is a nontrivial binomial coefficient, being equal to C(7764, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30135967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26620 + ... + 27728.

It is an arithmetic number, because the mean of its divisors is an integer number (2157840).

Almost surely, 230135966 is an apocalyptic number.

30135966 is the 7763-rd triangular number and also the 3882-nd hexagonal number.

30135966 is an abundant number, since it is smaller than the sum of its proper divisors (38914914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30135966 is a wasteful number, since it uses less digits than its factorization.

30135966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 30135966 is about 5489.6234843566. The cubic root of 30135966 is about 311.1919631793.

The spelling of 30135966 in words is "thirty million, one hundred thirty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 647 1109 1294 1941 2218 3327 3882 4529 6654 7763 9058 13587 15526 23289 27174 46578 717523 1435046 2152569 4305138 5022661 10045322 15067983 30135966